Properties

Label 930.e
Number of curves $1$
Conductor $930$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 930.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
930.e1 930c1 \([1, 1, 0, 98, 244]\) \(102437538839/77137920\) \(-77137920\) \([]\) \(440\) \(0.20160\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 930.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 930.e do not have complex multiplication.

Modular form 930.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + 3q^{7} - q^{8} + q^{9} - q^{10} + 3q^{11} - q^{12} - 2q^{13} - 3q^{14} - q^{15} + q^{16} + 8q^{17} - q^{18} - 7q^{19} + O(q^{20})\)  Toggle raw display